Whakaoti i te z=-16-7-(5-z/3)/9

$$z = \frac{ -16-7-( \frac{ 5-z }{ 3 } ) }{ 9 }$$

Whakaoti mō z

$$z = -\frac{37}{13} = -2\frac{11}{13} \approx -2.846153846$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tangohia te 7 i te -16, ka -23.

$$z=\frac{-23-\frac{5-z}{3}}{9}$$

Whakawehea ia wā o 5-z ki te 3, kia riro ko \frac{5}{3}-\frac{1}{3}z.

$$z=\frac{-23-\left(\frac{5}{3}-\frac{1}{3}z\right)}{9}$$

Hei kimi i te tauaro o \frac{5}{3}-\frac{1}{3}z, kimihia te tauaro o ia taurangi.

$$z=\frac{-23-\frac{5}{3}-\left(-\frac{1}{3}z\right)}{9}$$

Ko te tauaro o -\frac{1}{3}z ko \frac{1}{3}z.

$$z=\frac{-23-\frac{5}{3}+\frac{1}{3}z}{9}$$

Me tahuri te -23 ki te hautau -\frac{69}{3}.

$$z=\frac{-\frac{69}{3}-\frac{5}{3}+\frac{1}{3}z}{9}$$

Tā te mea he rite te tauraro o -\frac{69}{3} me \frac{5}{3}, me tango rāua mā te tango i ō raua taurunga.

$$z=\frac{\frac{-69-5}{3}+\frac{1}{3}z}{9}$$

Tangohia te 5 i te -69, ka -74.

$$z=\frac{-\frac{74}{3}+\frac{1}{3}z}{9}$$

Whakawehea ia wā o -\frac{74}{3}+\frac{1}{3}z ki te 9, kia riro ko -\frac{74}{27}+\frac{1}{27}z.

$$z=-\frac{74}{27}+\frac{1}{27}z$$

Tangohia te \frac{1}{27}z mai i ngā taha e rua.

$$z-\frac{1}{27}z=-\frac{74}{27}$$

Pahekotia te z me -\frac{1}{27}z, ka \frac{26}{27}z.

$$\frac{26}{27}z=-\frac{74}{27}$$

Me whakarea ngā taha e rua ki te \frac{27}{26}, te tau utu o \frac{26}{27}.

$$z=-\frac{74}{27}\times \frac{27}{26}$$

Me whakarea te -\frac{74}{27} ki te \frac{27}{26} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$z=\frac{-74\times 27}{27\times 26}$$

Me whakakore tahi te 27 i te taurunga me te tauraro.

$$z=\frac{-74}{26}$$

Whakahekea te hautanga \frac{-74}{26} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$z=-\frac{37}{13}$$